Question 13 0/1.5 points Consider the two-period model. Consumer's have preferences over current and future consumption (c and c). Households only receive income in the second period, y! That is, income in the first period is equal to zero, y=0. Households can save, s, for the second period and receive interest rate r. The slope of the budget constraint is -(1+r). As such, an increase in r would increase the slope in (c,c') space (the standard graph). The government implements a proportional income tax, O
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- QUESTION ONE Consider a model with two periods, each with one composite consumption good. Prices are the stable and normalized to 1. Suppose a consumer is endowed with income 20 in the first period and 60 in the second period. The consumer receives a 10% interest rate on savings and is subject to a 20% interest rate on borrowing. Regulations prohibit the consumer from borrowing more than 20. (a) Find this consumer's budget constraint. (b) Carefully graph the budget set. Label all intercepts.Y5“Permanent Income of consumption is just the average of all current and future incomes. Thus, one does not need to do the maximisation of intertemporal utility”. True or False. Discuss according to the model. Note that you need to discuss according to the model?
- 7. If a person's income is $40,000, how much do you predict that they will spend on consumption? 8. The R-squared, or coefficient of determination, from this regression is 0.844. Interpret the R-squared.APPLIED ECONOMICS Topic: Intertemporal Choice Levinn’s utility function is expressed as the following: U= C1 C2 0.3 where C1 is his first periodconsumption and C2 is his second period consumption. His income in the first period is$2500 and interest rate is at 10%. If at equilibrium, Levinn is neither a borrower nor a lender,then what is his expected income in the second period? Do not copy from othersUse the two-period model from the Appendix to answer this question. Your current income is 30,000. Your next period (future) income is known to be 36,000. If your current consumption expenditure is 24,000, your (current) level of savings S = (Enter your answer as a whole number.)
- APPLIED ECONOMICS Topic: Intertemporal Choice Levinn’s utility function is expressed as the following: U= C1 C2 0.3 where C1 is his first periodconsumption and C2 is his second period consumption. His income in the first period is$2500 and interest rate is at 10%. If at equilibrium, Levinn is neither a borrower nor a lender,then what is his expected income in the second period? Show the graph if possibleNo written by hand solution3. Analytic Question on Durable Consumption It is known that durable consumption is more sensitive to interest rates and expected income. In this question, we investigate if this is the case in the context of the model we have been studying. We investigate the following decision: U (c1, c2) 1 max {c1,c2} 2 VCi + xo + subject to the following budget constraints: The time 1 budget constraint: a = Y1 - Ci and the time 2 budget constraint: C2 = Y2 + (1 +r) a. The novelty is that ro is now a variable to represents past purchases of goods 1. You can think of this as a car. In turn, we have that x1 = c1 so a1 is consumption derived utility in period 2 derived from past purchases. For this question assume that B (1+ r) = 1. Answer the following questions. а. Substitute out a from both budget constraints, the one at time 1 and time 2, to write a single intertemporal budget constraint. b. Show that the Euler equation (the equation that relates the marginal utility of consumption to the interest…
- Suppose that a person can borrow and lend at an interest rate of 10 percent. But there is a 5% rate of inflation and one has to pay an income tax of 30 % on all interest income. If you borrow money, you can deduct interest as an expense. Where current consumption is on the horizontal axis and future consumption is on the vertical axis: (a) the budget line will have a kink at the point of no saving or lending. (b) the budget line will be a straight line with a slope of about 1: 02. (c) the budget line will be a straight line with a slope of about 1:05. (d) the budget line will be a straight line with a slope of about 1:35.Sub : EconomicsPls answer very fast.I ll upvote correct answer. Thank YouConsider a two-period consumption saving model and let f1 and f2 denote the first and secondperiod consumption, respectively. Assume that the interest rate at which the consumer may lend or borrowis 10%. Suppose that a consumer’s utility function is x (f1> f2) = f1 + 20√f2= The consumer first periodincome is L1 = $100 and the present value of her income stream is $330=(a) What is the optimal consumption stream (consumption bundle) of this consumer?(b) Is this consumer borrower or lender? How much does she borrow or lend?(c) What is the effect of a reduction of the interest rate to 5% on the consumer’s optimal first-periodsaving? (Make sure to take into account the effect of the decline in the interest rate on the present value ofthe consumer’s income stream.)